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If f={(1,1),(2,3),(3,5),(4,7)}, is a lin...

If `f={(1,1),(2,3),(3,5),(4,7)}`, is a linear function from Z to Z , then find f(x).

Text Solution

Verified by Experts

The correct Answer is:
N/a
`because f:Z to Z` is a linear function.
`therefore ` Let `f(x)=ax+b`
Now `f(1)=1`
`implies a+b =1" "…(1)`
and `f(2)=3 `
`implies 2a +b =3 " "…(2)`
From eqs. (1) and (2)
a=2, b=-1
`f(x)=2x-1`
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